Now showing items 1-14 of 14

• #### A measure of monotonicity of two random variables ﻿

(Science Publications, 2012)
Problem statement: When analyzing random variables it was useful to measure the degree of their monotone dependence or compare pairs of random variables with respect to their monotonicity. Existing coefficients measure ...
• #### Applying change of variable to calculus problems ﻿

(Taylor & Francis, 2011)
The paper describes the technique of introducing a new variable in some calculus problems that helps students to master the skills of integration and evaluating limits. This technique is algorithmic and easy to apply; it ...
• #### Counter-Examples and Paradoxes in Teaching Mathematical Statistics: A Case Study ﻿

(Mathematics Teaching-Research Journal (MTRJ), 2007)
• #### Finding the envelope and efficient frontier of financial assets ﻿

(Science Publications, 2012)
Problem statement: One of the problems considered in financial mathematics is finding portfolios of given financial assets that minimize risk for targeted returns. The set of such portfolios is called the envelope of the ...
• #### Formalizing Probability Concepts in a Type Theory ﻿

(Science Publications, 2018)
In this paper we formalize some fundamental concepts of probability theory such as the axiomatic definition of probability space, random variables and their characteristics, in the Calculus of Inductive Constructions, which ...
• #### Measuring monotony in two-dimensional samples ﻿

(Taylor & Francis, 2010)
The paper introduces a monotony coefficient as a new measure of the monotone dependence in a two-dimensional sample. Some properties of this measure are derived. In particular, it is shown that the absolute value of the ...
• #### Monotonicity criteria ﻿

(World Academy of Science, Engineering and Technology (WASET), 2013)
Monotonicity is an important type of dependence of random variables. The paper reviews the definitions of comonotonicity and counter-monotonicity, their existing criteria and introduces a new criterion for each of the two ...
• #### Orthogonal projection in teaching regression and financial mathematics ﻿

(ASA Publications, 2010)
Two improvements in teaching linear regression are suggested. The first is to include the population regression model at the beginning of the topic. The second is to use a geometric approach: to interpret the regression ...
• #### Paradoxes and counterexamples in teaching and learning of probability at university ﻿

(Taylor & Francis, 2011)
• #### Percentage problems in bridging courses ﻿

(Taylor and Francis, 2012)
Research on teaching high school mathematics shows that the topic of percentages often causes learning difficulties. This article describes a method of teaching percentages that the authors used in university bridging ...
• #### Representing Markov chains with transition diagrams ﻿

(Science Publications, 2013)
Stochastic processes have many useful applications and are taught in several university programmes. Students often encounter difficulties in learning stochastic processes and Markov chains, in particular. In this article ...
• #### Students’ misconceptions about random variables ﻿

(Taylor & Francis, 2011)
This article describes some misconceptions about random variables and related counter-examples, and makes suggestions about teaching initial topics on random variables in general form instead of doing it separately for ...
• #### Topological Beth Model and its Application to Functionals of High Types ﻿

(Science Publications, 2020)
Based on the definition of Beth-Kripke model by Dragalin, we describe Beth model from the topological point of view. We show the relation of the topological definition with more traditional relational definition of Beth ...
• #### Using Paradoxes and Counterexamples in Teaching Probability: A Parallel Study ﻿

(Mathematics Teaching-Research Journal (MTRJ), 2011)
The paper presents and analyses the attitudes of first-year university science and engineering students towards using paradoxes and counterexamples as a pedagogical strategy in teaching and learning of probability. The ...